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Finding the Fourth Proportional to 4,257.60, 5,869.44 and 3,013.44

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Solution

The fourth proportional to 4,257.60, 5,869.44 and 3,013.44 is: 4,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.60 : 5,869.44 = 3,013.44 : x
  2. Step 2: Convert to fraction form
    4,257.60/5,869.44 = 3,013.44/x
  3. Step 3: Cross multiply
    4,257.60x = 5,869.44 × 3,013.44
  4. Step 4: Simplify right side
    4,257.60x = 17,687,205.27
  5. Step 5: Solve for x
    x = 17,687,205.27/4,257.60
  6. Step 6: Final answer
    x = 4,154.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.